38768965339806 has 168 divisors, whose sum is σ = 94438583613216. Its totient is φ = 11925699102720.

The previous prime is 38768965339799. The next prime is 38768965339807. The reversal of 38768965339806 is 60893356986783.

It is a happy number.

38768965339806 is a `hidden beast` number, since 3 + 8 + 76 + 8 + 9 + 6 + 533 + 9 + 8 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38768965339807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1012939486 + ... + 1012977758.

Almost surely, 2^{38768965339806} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38768965339806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47219291806608).

38768965339806 is an abundant number, since it is smaller than the sum of its proper divisors (55669618273410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38768965339806 is a wasteful number, since it uses less digits than its factorization.

38768965339806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42430 (or 42402 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 38768965339806 in words is "thirty-eight trillion, seven hundred sixty-eight billion, nine hundred sixty-five million, three hundred thirty-nine thousand, eight hundred six".